3. Divide \( 240 g \) in the ratio \( 5: 3: 4 \)

To divide \( 240 g \) in the ratio \( 5: 3: 4 \), first, you need to find the total parts in the ratio. There are \( 5 + 3 + 4 = 12 \) parts in total. Next, to find the weight of each part, divide the total weight \( 240 g \) by the total parts: \[ \text{Weight of each part} = \frac{240 g}{12} = 20 g \] Now, multiply the weight of each part by the respective ratio values: - For \( 5 \) parts: \( 5 \times 20 g = 100 g \) - For \( 3 \) parts: \( 3 \times 20 g = 60 g \) - For \( 4 \) parts: \( 4 \times 20 g = 80 g \) So, \( 240 g \) divided in the ratio \( 5: 3: 4 \) yields \( 100 g, 60 g, \) and \( 80 g \). Finding ratios in real-life scenarios can often be more than just academic exercise! For example, when cooking, you might want to adjust the quantities of ingredients based on a specific ratio. If a recipe calls for a certain amount of flour, sugar, and eggs in a particular ratio, you can successfully scale up or down by using the same ratio. It's a practical and tasty application of mathematics! Another fun application of ratios is in sports or games! Say you're playing a multiplayer video game where character classes have different abilities and you want to split resources between them. Understanding ratios helps ensure that each class gets its fair share! Just remember, a common mistake is forgetting to add the parts together before dividing, so always double-check your total parts before proceeding!